Question

Kelsey graphed the equation y = 3x + 1 as shown below.

Answer 1

Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.

Answer 2

The given equation of line in two variable is :

→y = 3 x +1

→→It is the slope intercept form of line having slope = 3 ,

and Y intercept = 1.

→→→Slope of line = Tan (theta)=3, i.e Angle made by line in positive direction of X axis.

we can draw its graph by taking any two points on the line

put , x= 0 gives y=1.

Put y=0, gives , x = $\frac{-1}{3}$  

So we will draw equation of line joining (0,1) and ($\frac{-1}{3},0)$.

Or convert it into  intercept form which is :  $\frac{x}{\frac {-1}{3}}+\frac{y}{1}=1$